Slope, Slope of Parallel Lines, and Slope of Perpendicular Lines
By: Paige Drummond
Melissa Le
Sydney Campo
To find slope- The slope intercept formula= Y=MX+B
Y=the Y corodinate (X,Y)- don't use M= the slope of the line X= the X cordinate-don't use B= the Y-intercept (the point where the line crosses the Y-axis)
Point Slope Formula-
Slope=
Slope of lines
Negative Slope
Positive Slope-
Zero Slope- Undefined Slope-
Slope of Parallel Lines- In a cooridinate plane two non-vertical lines are parallel if and only if they have the same slope.
Slope of Perpendicular Lines- In a coordinate plane two non-vertical lines are perpendicular if and only if the product of their slope is -1.
How to Calculate the Slope of Perpendicular Lines-
The product of the two slopes must be -1
They also must be opposite recipricals
Example- Then, of course, you would make it negative for the opposite part.
Problem One-
By:Paige Drummond Find the Line Perpendicular to this line.
Answer- First you must find the slope using the formula for finding slope. You can use any two points but for this problem we will use (-2,3) and (2,1). The slope is negative one and a half. Then to place it on the line pick a Y-intercept. The easiest on is always (0,0). Then you count over negative one and up two. Repeat this untill you have your line.
Practice Problem 2-
Melissa Le
Solve for y. Use the resulting equation to find the slope of the line.
9x – 2y = –18
Answer:step-by-step
Using the Addition Property, add –9x to both the sides.
(–9x) + 9x – 2y = (–9x) + (–18)
Simplify.
–2y = (–9x) – 18
Using the Multiplication Property, multiply both sides by –1/2.
Simplify.
Simplify the expression using the Distributive Property.
Here distribute –1/2.
The equation is in the slope–intercept form, y = mx + b
Hence, the slope is 9/2.
Practice Problem: Find the slope of the line given in the graph below. By: Sydney Campo
Answer:
Two sets of coordinates that we could use to solve this problem are (-3,0) and (0,5)
Using the formula for finding slope, y2- y1 , we subract 5-0= 5, and then 0--3= 3. The first equation gives us the answer to our "rise", and the second equation
Slope, Slope of Parallel Lines, and Slope of Perpendicular Lines
By: Paige Drummond
Melissa Le
Sydney Campo
To find slope-The slope intercept formula= Y=MX+B
Y=the Y corodinate (X,Y)- don't use
M= the slope of the line
X= the X cordinate-don't use
B= the Y-intercept (the point where the line crosses the Y-axis)
Point Slope Formula-
Slope=
Slope of lines
Negative Slope
Positive Slope-
Zero Slope-
Undefined Slope-
Slope of Parallel Lines- In a cooridinate plane two non-vertical lines are parallel if and only if they have the same slope.
Slope of Perpendicular Lines- In a coordinate plane two non-vertical lines are perpendicular if and only if the product of their slope is -1.
How to Calculate the Slope of Perpendicular Lines-
Example-
Then, of course, you would make it negative for the opposite part.
Problem One-
By:Paige Drummond
Find the Line Perpendicular to this line.
Answer-
First you must find the slope using the formula for finding slope.
You can use any two points but for this problem we will use (-2,3) and (2,1).
The slope is negative one and a half.
Then to place it on the line pick a Y-intercept. The easiest on is always (0,0). Then you count over negative one and up two. Repeat this untill you have your line.
Practice Problem 2-
Melissa Le
Solve for y. Use the resulting equation to find the slope of the line.
9x – 2y = –18
Answer:step-by-step
Using the Addition Property, add –9x to both the sides.
(–9x) + 9x – 2y = (–9x) + (–18)
Simplify.
–2y = (–9x) – 18
Using the Multiplication Property, multiply both sides by –1/2.
Simplify.
Simplify the expression using the Distributive Property.
Here distribute –1/2.
The equation is in the slope–intercept form,
y = mx + b
Hence, the slope is 9/2.
online worksheet
http://www.mausmi.net/math-center/ws/Parallel%20and%20Perpendicular%20lines.pdf
http://www.themathpage.com/alg/slope-of-a-line.htm
Practice Problem: Find the slope of the line given in the graph below.
By: Sydney Campo
Answer:
Two sets of coordinates that we could use to solve this problem are (-3,0) and (0,5)
Using the formula for finding slope, y2- y1 , we subract 5-0= 5, and then 0--3= 3. The first equation gives us the answer to our "rise", and the second equation
x2- x1
gives us the answer to our "run".
Rise= 5
Run= 3
The slope = rise/run = 5/3